A sharp Strichartz estimate for the wave equation with data in the energy space
Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 805-823
Voir la notice de l'article provenant de la source EMS Press
We prove a sharp bilinear estimate for the wave equation from which we obtain the sharp constant in the Strichartz estimate which controls the Lt,x4(R5+1) norm of the solution in terms of the energy. We also characterise the maximisers.
Classification :
35-XX, 00-XX
Keywords: Strichartz estimates, wave equation, sharp constants
Keywords: Strichartz estimates, wave equation, sharp constants
@article{JEMS_2013_15_3_a4,
author = {Neal Bez and Keith M. Rogers},
title = {A sharp {Strichartz} estimate for the wave equation with data in the energy space},
journal = {Journal of the European Mathematical Society},
pages = {805--823},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {2013},
doi = {10.4171/jems/377},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/377/}
}
TY - JOUR AU - Neal Bez AU - Keith M. Rogers TI - A sharp Strichartz estimate for the wave equation with data in the energy space JO - Journal of the European Mathematical Society PY - 2013 SP - 805 EP - 823 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/377/ DO - 10.4171/jems/377 ID - JEMS_2013_15_3_a4 ER -
%0 Journal Article %A Neal Bez %A Keith M. Rogers %T A sharp Strichartz estimate for the wave equation with data in the energy space %J Journal of the European Mathematical Society %D 2013 %P 805-823 %V 15 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/377/ %R 10.4171/jems/377 %F JEMS_2013_15_3_a4
Neal Bez; Keith M. Rogers. A sharp Strichartz estimate for the wave equation with data in the energy space. Journal of the European Mathematical Society, Tome 15 (2013) no. 3, pp. 805-823. doi: 10.4171/jems/377
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